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Finding the Fourth Proportional to 6,966, 9,609.78 and 6,170.10

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Solution

The fourth proportional to 6,966, 9,609.78 and 6,170.10 is: 8,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 9,609.78 = 6,170.10 : x
  2. Step 2: Convert to fraction form
    6,966/9,609.78 = 6,170.10/x
  3. Step 3: Cross multiply
    6,966x = 9,609.78 × 6,170.10
  4. Step 4: Simplify right side
    6,966x = 59,293,303.58
  5. Step 5: Solve for x
    x = 59,293,303.58/6,966
  6. Step 6: Final answer
    x = 8,511.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.